2017
Том 69
№ 6

All Issues

Convergence of the Galerkin method for a wave equation with singular right-hand side

Nomirovs'kii D. A.

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Abstract

We consider analogs of the Galerkin method for a linear wave equation of the fifth order with generalized functions on the right-hand side. Theorems on the convergence of an approximate method, depending on the order of singularity of the right-hand side, are proved.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 6, pp 876-886.

Citation Example: Nomirovs'kii D. A. Convergence of the Galerkin method for a wave equation with singular right-hand side // Ukr. Mat. Zh. - 2006. - 58, № 6. - pp. 778–786.

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